If π remains constant in a binomial distribution, an increase in n will increase the variance.

Question

Quizplus · Accepted Answer

The formula for the variance of a binomial distribution is Var(X) = np(1-p), where n is the number of trials and p is the probability of success on each trial. If π, which is another notation for p, remains constant and n increases, then the variance will increase as well because the number of possible outcomes and the spread of those outcomes will be larger. Therefore, the statement is true.

If π Remains Constant in a Binomial Distribution, an Increase